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How do I find the domain of the function f(x) = 2x? Socratic?

How do I find the domain of the function f(x) = 2x? Socratic?

WebTo find the domain of a function, consider any restrictions on the input values that would make the function undefined, including dividing by zero, taking the square root of a … WebFree functions domain calculator - find functions domain step-by-step cross reference k7rtc WebSep 2, 2024 · Domain of f ( x) = log 3 x − 1 x + 1 + 2 x + 1 − 1 x. x 1 tells me that x should be bigger then -1/2, let's say if we put x=-2 (as -2<-1/2) in the log we get − 3 / − 1 = 3 … WebSep 4, 2024 · Explanation: As we cannot divide by 0, x ≠ − 1 The domain is x ∈ ( −∞, − 1) ∪ ( − 1, + ∞) Let y = x2 +1 x +1 So, y(x + 1) = x2 + 1 x2 +yx + 1 − y = 0 In order for this equation to have solutions, the discriminant is Δ ≤ 0 Δ = y2 − 4(1 −y) = y2 +4y − 4 ≥ 0 y = −4 ± (16 − 4 ⋅ ( − 4)) 2 y = −4 ± √32 2 = ( −2 ± √8) y1 = −2 −√8 y2 = −2 +√8 cross reference kn-303 WebAdd a comment. 1. f ( x) = f ( 2 x + 1) f ( 2 x − 1) = f ( 2 ( 2 x − 1) + 1) f ( 2 x − 1) = f ( 2 x + 1 − 1) Note that the general solution is f ( x) = Θ ( log 2 ( x + 1)) , where Θ ( x) is any … WebFind the Domain and Range f (x)=1/ (x-3) f (x) = 1 x − 3 f ( x) = 1 x - 3 Set the denominator in 1 x−3 1 x - 3 equal to 0 0 to find where the expression is undefined. x−3 = 0 x - 3 = 0 Add 3 3 to both sides of the equation. x = 3 x = 3 The domain is all values of x x that make the expression defined. Interval Notation: cross reference knorr WebGiven,f (x)= −x 2+2x+8−log 0.3(x−1)For given function to be defined,−log 0.3(x−1)≥0⇒log 10/3(x−1)≥0⇒x−1≥1⇒x≥2and,−x 2+2x+8>0⇒x 2−2x−8<0⇒(x+2)(x−4)<0⇒−2<4Combining above two we get required domain [2,4)

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